Answer
a) $50$ deers; b) $150$ deers; c) $y=225$;
Work Step by Step
$\textbf{a)}$ Let $f$ be the function modeling the number of deers.
The number of deers introduced into the habitat is the value of the function at $t=0$, which we read from the graph
$$f(0)=50.$$
$\textbf{b)}$ The number of deers after $10$ years is the value of the function $f$ for $x=10$, which we read from the graph:
$$f(10)=150.$$
$\textbf{c)}$ From the graph we notice that when $t$ increases indefinitely, the value of the function $f$ approaches $225$, which means the horizontal asymptote of the function is:
$$y=225.$$
This tells us that as time goes by the population of deers tends to stabilize around the value of $225$.
